"Billing API is not available now" error in CCP

Symptoms

When logging in to the CCP an error occurs:

Billing API is not available now

Billing works fine, there are no issues executing API calls, for the rest of accounts such error message is absent

Cause

An error happens under accounts with more than 200 hosting subscriptions, API call GetAccountCPData_API fails with DataPacket type mismatch exception. The issue is caused by the bug with id #PBA-62569 ("Billing API is not available." error on home screen of CCP).